Sparse Optimal Control of the Schlögl and FitzHugh-Nagumo Systems

@article{Casas2013SparseOC,
  title={Sparse Optimal Control of the Schl{\"o}gl and FitzHugh-Nagumo Systems},
  author={Eduardo Casas and Christopher Ryll and Fredi Tr{\"o}ltzsch},
  journal={Comput. Meth. in Appl. Math.},
  year={2013},
  volume={13},
  pages={415-442}
}
We investigate the problem of sparse optimal controls for the so-called Schlögl model and the FitzHugh-Nagumo system. In these reaction-diffusion equations, traveling wave fronts occur that can be controlled in different ways. The L-norm of the distributed control is included in the objective functional so that optimal controls exhibit effects of sparsity… CONTINUE READING